4.UU. LEJLI [Chapter 11] Linear Optimization Models Florence Marketing Group is being hired by a client firm to assist in ascertaining consumer reaction to a recently marketed product in Chicagoland. Florence decided to conduct personal interviews to obtain responses from consumers. From experience, Florence learns that interview cost varies due to differences in gender and location, as shown in the table below. Cost Per Interview Gender City Suburbs Male $10 $11 Female $9 $12 The contract called for Florence to conduct interviews under the requirements (as detailed in the Constraints section) given below. Please help Florence develop an interview plan by formulating a linear optimization model: Write your final answer only (without intermediate steps) for the fill-in-the-blank questions. 1. Define the decision variables. (Note: This step is done for you. Please use these decision variables hereafter.) X1 = Number of interviews with males from the city: X2 = Number of interviews with males from the suburbs: X3 = Number of interviews with females from the city: X4 - Number of interviews with females from the suburbs. Question 27 (2 points) If the objective function is written as AX,BX2+CXg+DX4 where A, B, C, and D are the coefficients for X, X, X3, and X. respectively, then A= A/ B = C= D- ] Round the final answer if it is not an integer) to the nearest integer 0 a 99 Question 26 (2 points) This is a problem. 4 minimization Cannot tell whether this is a minimization or maximization problem; more information is needed. maximization